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Finding the Fourth Proportional to 7,642.92, 11,456.18 and 5,009.44

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Solution

The fourth proportional to 7,642.92, 11,456.18 and 5,009.44 is: 7,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.92 : 11,456.18 = 5,009.44 : x
  2. Step 2: Convert to fraction form
    7,642.92/11,456.18 = 5,009.44/x
  3. Step 3: Cross multiply
    7,642.92x = 11,456.18 × 5,009.44
  4. Step 4: Simplify right side
    7,642.92x = 57,389,046.34
  5. Step 5: Solve for x
    x = 57,389,046.34/7,642.92
  6. Step 6: Final answer
    x = 7,508.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.